Answer:
500
Step-by-step explanation:
Answer:
it is 500
Step-by-step explanation:
it is 500 because if you take the 5 and multiply it by the 1 you get one then all you do after you do that is add the zeros at the end.
A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point. 18 + 3x = 24 + 2x What does x represent? the total cost to fill the rectangular bird feeder after any number of weeks the total cost to fill the cylindrical bird feeder after any number of weeks the number of weeks the bird feeders are filled the number of bird feeders purchased each week
Answer:
the number of weeks the bird feeders are filled
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Just took the review
Find the range of the given data set. 5/8, 3/4, 1 1/8, 1 1/4 A)5/8 B)3/4 C)1 1/8
Answer:
A)5/8
Step-by-step explanation:
The range of a set of data is the difference between the highest and lowest values in the set.Given data set:
5/8, 3/4, 1 1/8, 1 1/4Rewriting the data set in the same denominator to compare:
5/8, 6/8, 9/8, 10/8As we see the smallest value is 5/8 and the highest value is 10/8, so the difference:
10/8 - 5/8 = 5/8So, the range of the given data set is 5/8
Correct choice is: A)5/8
Solve Square root of -144 =
-12i
-12
12
12i
Answer:
12i
Step-by-step explanation:
Step 1: Write it out
√-144
Step 2: Factor
√144(√-1)
Step 3: Evaluate
12i
Determine whether the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.
r(t)=⟨1−t,3+2t,−3t⟩
s(t)=⟨2t,−3−4t,3+6t⟩
Answer:
r(t) and s(t) are parallel.
Step-by-step explanation:
Given that :
the lines represented by the vector equations are:
r(t)=⟨1−t,3+2t,−3t⟩
s(t)=⟨2t,−3−4t,3+6t⟩
The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.
NOTE:
Two lines will be parallel if [tex]\dfrac{x_1}{x_2}= \dfrac{y_1}{y_2}= \dfrac{z_1}{z_2}[/tex]
here;
[tex]d_1 = (-1, \ 2, \ -3)[/tex]
Thus;
[tex]r(t) = \dfrac{x-1}{-1} = \dfrac{y-3}{2}=\dfrac{z-0}{-3} = t[/tex]
[tex]d_2 =(2, \ -4, \ +6)[/tex]
[tex]s(t) = \dfrac{x-0}{2} = \dfrac{y+5}{-4}=\dfrac{z-3}{6} = t[/tex]
∴
[tex]\dfrac{d_1}{d_2}= \dfrac{-1}{2} = \dfrac{2}{-4}= \dfrac{-3}{-6}[/tex]
Hence, we can conclude that r(t) and s(t) are parallel.
Find the slope of (3,-3) and (0,3)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 2}}}}}[/tex]Step-by-step explanation:
Let the points be A and B
A ( 3 , -3 ) ⇒( x₁ , y₁ )
B ( 0 , 3 )⇒ ( x₂ , y₂ )
Finding the slope
Slope ( m ) = [tex] \sf{ \frac{y2 - y1}{x2 - x1} }[/tex]
plug the values
⇒[tex] \sf{ \frac{3 - ( - 3)}{0 - 3} }[/tex]
We know that , [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
⇒[tex] \sf{ \frac{3 + 3}{0 - 3} }[/tex]
Calculate
⇒[tex] \sf{ \frac{6}{ - 3} }[/tex]
⇒[tex] \sf{ - 2}[/tex]
Hope I helped!
Best regards!!
Answer:
-6/3=. -2
Step-by-step explanation:
Cuanto es la raíz cuadrada de 25
What is the value of the expression
Hi there! Hopefully this helps!
------------------------------------------------------------------------------------------------------------
The answer: [tex]\frac{7}{9}[/tex].~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]\sqrt[]{2}[/tex] × [tex]\frac{8\sqrt{2} }{3}[/tex] ÷ 3 - 1
First, we express [tex]\sqrt{2}[/tex] × [tex](\frac{8\sqrt{2}}{3})[/tex] ≈ 5.333333333 as a single fraction.
[tex]\frac{\sqrt{2 \times 8\sqrt{2} } }{\frac{3}{3} } - 1[/tex] ≈ 0.777777778
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now we express [tex]\frac{\sqrt{2 \times 8\sqrt{2} } }{\frac{3}{3} }[/tex] ≈ 1.777777778 as a single fraction.
[tex]\frac{\sqrt{2 \times 8\sqrt{2} } }{3 \times 3} - 1[/tex] ≈ 0.777777778
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Multiply [tex]\sqrt{2}[/tex] ≈ 1.414213562 and [tex]\sqrt{2}[/tex] ≈ 1.414213562 to get 2.
[tex]\frac{2 \times 8}{3 \times 3} - 1[/tex] ≈ 0.777777778
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Multiply 2 and 8 to get 16.
[tex]\frac{16}{3 \times 3} - 1[/tex] ≈ 0.777777778
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Multiply 3 and 3 to get 9.
[tex]\frac{16}{9} - 1[/tex] ≈ 0.777777778
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Convert 1 to fraction [tex]\frac{9}{9} = 1.[/tex]
[tex]\frac{16}{9} - \frac{9}{9}[/tex] ≈ 0.777777778
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Since [tex]\frac{16}{9}[/tex] ≈ 1.777777778 and [tex]\frac{9}{9} = 1[/tex] have the same denominator, subtract them by subtracting their numerators.
[tex]\frac{16 - 9}{9}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Then you get................
[tex]\frac{7}{9}[/tex]
Only the bottom one please help solve and check
Answer:
3
Step-by-step explanation:
16+5f=31
5f=31-16
5f=15
f=3
CHECK:
16+5(3)=31
16+15=31
31=31
since e=-14 in the first equation, the last one is
-14-3=-17, which is correct
Write down the next three terms in each sequence -8,-11,-14,-17
(3,4) (-3,8) ( 6,8) is a function?
The relation {(3, 4), (-3, 8), (6, 8)}, is a function, because
all the x–coordinates are different.
It's important to understand that even though two of the y-coordinates
are the same, this relation is still a function.
The y-coordinates do not have any affect
on whether the relation is a function.
Compute the following probabilities:
A. If Y is distributed N (-8,9), Pr (Y≤-12) = —— . (Round your response to four decimal places.)
B. If Y is distributed N (-4,9), Pr (Y>-1) = ——. (Round your response to four decimal places.)
C. If Y is distributed N (40,25), Pr (34≤Y≤44) = ——. (Round your response to four decimal places.)
D. If Y is distributed N (−3,4), Pr (Y>−4) = _____ (Round your response to four decimal places.)
Answer:
a) P [ Y ≤ -12 ] = 0,32997 or P [ Y ≤ -12 ] = 32,99 %
b) P [ Y > -1 ] = 0,3707 or P [ Y > -1 ] = 37,07 %
c) P [ 34 ≤ Y ≤ 44] = 0,1585 or P [ 34 ≤ Y ≤ 44] = 15,85 %
d) P [ Y > -4 ] = 0,59871 or P [ Y > -4 ] = 59,87 %
Step-by-step explanation:
Normal Distribution: N ( -8 ; 9 )
a) P [ Y ≤ -12 ] = ( - 12 - (-8))/9
P [ Y ≤ -12 ] = - 4/9 = - 0,44
From z-table for the z score -0,44 we get:
P [ Y ≤ -12 ] = 0,32997 or P [ Y ≤ -12 ] = 32,99 %
b) Normal Distribution: N ( - 4 ; 9 )
P [ Y > -1 ] = 1 - P [ Y ≤ -1 ]
P [ Y ≤ -1 ] = ( - 1 - ( - 4 ) ) / 9
P [ Y ≤ -1 ] = 3 / 9 = 0,3333
From z-table for the z score 0,33 we get:
P [ Y ≤ -1 ] = 0,6293
P [ Y > -1 ] = 1 - P [ Y ≤ -1 ] = 1 - 0,6293
P [ Y > -1 ] = 0,3707 or P [ Y > -1 ] = 37,07 %
c) Normal Distribution: N ( 40 ; 25 )
P [ 34 ≤ Y ≤ 44]
P [ 34 ≤ Y ≤ 44] = P [ Y ≤ 44] - P [ Y ≤ 34 ]
P [ Y ≤ 44] = ( 44 - 40 ) / 25 = 0,16
From z-table for the z score 0,16 we get:
P [ Y ≤ 44] = 0,5636
P [ Y ≤ 34 ] = ( 34 - 40 ) / 25 = - 6 / 25 = - 0,24
From z-table for the z score -0,24 we get:
P [ Y ≤ 34 ] = 0,40517
Then
P [ 34 ≤ Y ≤ 44] = P [ Y ≤ 44] - P [ Y ≤ 34 ]
P [ 34 ≤ Y ≤ 44] = 0,5636 - 0,40517
P [ 34 ≤ Y ≤ 44] = 0,1585 or P [ 34 ≤ Y ≤ 44] = 15,85 %
d) Normal Distribution: N ( -3 ; 4 )
P [ Y > -4 ] = 1 - P [ Y ≤ -4 ]
P [ Y ≤ -4 ] = ( - 4 - ( -3))/4 = - 1/4 = - 0,25
From z-table for the z score -0,25 we get:
P [ Y ≤ -4 ] = 0,40129
P [ Y > -4 ] = 1 - 0,40129
P [ Y > -4 ] = 0,59871 or P [ Y > -4 ] = 59,87 %
Write a decimal expansion for 2/9. Chose the correct decimal notation.
Answer:
This is the answer
2/9=0.222222222.
Answer:
.2222 ( repeating)
Step-by-step explanation:
What is the inverse function of f(x) = x
Answer:
y = x
Step-by-step explanation:
The inverse of f(x) = x is just y = x.
A musical instrument company reduced the time it takes for a worker to build a guitar. Before the reduction it took 5 hours. Now in 7 hours they can build 3 guitars. By how much did they reduce the time it takes to build each guitar?
Answer:
2 2/3 hours
Step-by-step explanation:
Before it was 5 hours for 1 guitar, or 5 hours/guitar
Now it is 7 guitars in 3 hours or 7/3 hours/guitar
7/3 = 2 1/3
5 hours - 2 1/3 hours = 15/3 hours - 7/3 hours = 8/3 hours = 2 2/3 hours
The reduced the time it takes to build 1 guitar by 2 2/3 hours.
Use the Venn diagram to list the set of elements of A ∩ B in roster form.
Answer:
A. {e, h}
Step-by-step explanation:
In a Venn diagram, the set of elements in any intersection can simply be visualised. The elements contained in the region where the circles representing different sets overlap, are the set of elements of intersection.
In the Venn diagram given, the set of elements contained in the region where the circles representing A and B overlap are {e, h}.
{e, h} is common to both set A and set B.
pls answer asap!! will mark brainliest giving 50 points ty ily <3
Answer:
56
Step-by-step explanation:
Keep the order of opperations in mind when doing this (PEMDAS). First, solve what is inside the parentheses (6-1). Then, solve the exponent and the multiplication (6² and 5×5). Finally, finish adding and subtracting to get the answer.
Answer:
56
Step-by-step explanation:
Hello!
We have to follow the order of PEMDAS
Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction
5 x 5 - (6 - 1) + [tex]6^{2}[/tex]
Parenthesis First
[tex]5 x 5 - (5) + 6^2[/tex]
Exponents next
[tex]5x5 - (5) + 36[/tex]
Multiplication and Divsion from left to right
25 - (5) + 36
Addition and Subtraction from left to right
20 + 36
56
The answer is 56
Hope this Helps!
19. In each of the following ligures, find the values of x and y
Answer:
x and y is 115 exterior angle property
Answer:
[tex]\boxed{x = 65, y=50}[/tex]
Step-by-step explanation:
→ We know that angles on a straight line add up to 180° so we can use that to work out angle x
x + 115° = 180°
⇒ Minus 115° from both sides to isolate x
x = 65°
→ We can see that there are 2 angles labelled x so we can use that to find the value of y
65° × 2 = 130°
→ We utilise the angle fact that angles in a triangle add up to 180°
130° + y = 180°
⇒ Minus 130° from both sides to isolate y
y = 50°
1 Out of 30 students surveyed, 17 have a dog. Based on these results
predict how many of the 300 students in the school have a dog
Answer:
170
Step-by-step explanation:
17 dogs per 30 students or 17/30
Same ratio for 300 students:
300*17/30 = 170So 170 students have a dog
14. In a pattern that starts with 5, the next
number is 4 less than twice the previous
number. What is the 4th number in the
pattern?
E. 16
F. 8
G. 12
H. 20
Answer:
the answer would be G.12
Step-by-step explanation:
The given graph shows the cigarette consumption (in billions) in the United States for the years 1900 to
2007
Choose the best estimate for the number of cigarettes smoked in 1980.
600 billion
620 billion
575 billion
700 billion
Answer: 700 billion
Step-by-step explanation:
A new restaurant, Banana Monkey, has been open for two weeks. The number of diners who have eaten at the restaurant on each of those days is shown in the plot below. Number of diners Stem 7. 8 9 Leaf 6 6 8 9 2 5 5 8 8 9 4 7 7 7 Key 8 7 = 87 How many days did Banana Monkey have more than 85 guests?
Answer:
to much numbers
Step-by-step explanation:
The statewide pass rates for ENGL&101 across Washington state community colleges is 68%. An instructor in the English department at CBC believes rates at CBC may be higher than the state average. This study can be stated as a formal hypothesis test in the following way:
H0 : p=0.68
HA: p > 0.68
To perform his study, he took a random sample of 250 students at CBC that had taken
ENGL&101, and found that 179 had passed the course.
Using your g from the last question, calculate the test statistic for the hypothesis test. Round your answer to two decimal places.
Answer:
The calculated value Z=1.2413 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
An instructor in the English department at CBC believes rates at CBC may be equal to the state average
Step-by-step explanation:
Step(i):-
Given Population proportion
P=68%= 0.68
Sample proportion
[tex]p^{-} =\frac{x}{n} = \frac{179}{250} = 0.716[/tex]
Null hypothesis : H₀ : p = 0.68
Alternative Hypothesis :H₁ : p > 0.68
Step(ii):-
Test statistic
[tex]Z = \frac{p^{-}-P }{\sqrt{\frac{P Q}{n} } }[/tex]
[tex]Z = \frac{0.716-0.68 }{\sqrt{\frac{0.68 X 0.32}{250} } }[/tex]
Z = 1.2413
Level of significance
[tex]Z_{0.05} = 1.96[/tex]
The calculated value Z=1.2413 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
An instructor in the English department at CBC believes rates at CBC may be equal to the state average
A university law school accepts 6 out of every 11 applicants. If the school accepts 552 students find how many applicants they received
Answer:
1012
Step-by-step explanation:
The ratio of student / applicant is 6 /11
So for 552 students, the applicants number is:
6/11 = 552/xx = 552*11/6 x= 1012Number of applicants is 1012
Landon usually eats two slices of pizza from a 12 inch pizza cut into 6 slices. I make homemade pizza on a rectangular cookie sheet that is 10 inches by 15 inches and I cut it into 8 rectangular pieces. How many slices of this homemade pizza will Landon proabably eat
Answer:
He will eat 0.233 of one slice
Step-by-step explanation:
If Landon eats only two slices of pizza from a 12 inch pizza cut into 6
It means each slice has 2 inch pizza and Landon eats 2 of these
So Landon eats 2*2 = 4 inch pizza
So a rectangular pizza of 10 by 15
= 10*15
= 150 inch pizza
Cut into 8 slices
= 150/8
.= 18.75 inch per slice
4/18.75 = 0.233
He will eat 0.233 of one slice
Solve application problems using quadratic equations. 1. A positive real number is 4 less than another. When 8 times the larger is added to the square of the smaller, the result is 96. Find the numbers.
Hello, let's note a the positive real number.
A positive real number is 4 less than another.
So, the other number is a - 4
When 8 times the larger is added to the square of the smaller, the result is 96.
So, we need to solve the following equation.
[tex]8a+(a-4)^2=96[/tex]
Let's do it!
[tex]8a+(a-4)^2=96\\\\8a+a^2-8a+16=96\\\\a^2=96-16=80=4^2*5\\\\a=\pm4\sqrt{5}[/tex]
As a is positive, there is only one solution which is.
[tex]\Large \boxed{\sf \bf \ \ a=4\sqrt{5} \ \ }[/tex]
Thank you.
The amount given by the sum of numbers can be presented in an equation
form from which the value of each number can be obtained.
The large number is 4·√5, the smaller number is 4·(√5 - 1)
Reason:
Let x represent the large number, we have;
The smaller number = x - 4
8 × x + (x - 4)² = 96
8·x + (x - 4)² = 96
Required:
The values of the numbers
Solution:
8·x + (x - 4)² = 8·x + x² - 8·x + 16 = 96
8·x - 8·x + x² + 16 = 96
x² + 16 = 96
x² = 96 - 16 = 80
x = ±√(80) = ±4·√5
Given that the numbers are positive, we have;
The large number, x = 4·√5
The smaller number = x - 4 = 4·√5 - 4
The smaller number = 4·√5 - 4 = 4·(√5 - 1)
Learn more here:
https://brainly.com/question/24676383
A man drove 16 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Use the Pythagorean theorem.
Distance = sqrt(16^2 + 5^2)
Distance = sqrt(256 + 25)
Distance = sqrt(281)
Distance = 16.763
Rounded to the nearest tenth = 16.8 miles
A test of a hybrid car resulted in 4,840 miles driven using
88 gallons of gas. At this rate, how many gallons of gas will this vehicle
need to travel 1,155 miles?
Answer:
Hey there!
We can write the proportion:
[tex]88/4840 = x/1155[/tex]
101640=4840x
x=21
The car would need 21 gallons of gas to travel 1155 miles.
Let me know if this helps :)
Answer:
21 gallons
Step-by-step explanation:
4,840 miles = 88 gallons
=> 1155 miles = x gallons
=> Cross-multiply
=> 4840 * x = 1155 * 88
=> 4840x = 101640
=> 4840x/4840 = 101640/4840
=> x = 21
The car can travel 1,155 miles using 21 gallons.
Plzzz write all the steps
Answer:
( 2x - 1 ) ( x + 3) / ( 2x - 3 ) ( x + 1 )
Step-by-step explanation:
(x - 2) / (x + 1) - 3(1 - 4x) / ( 2x - 3 ) ( x + 1 )
{ ( x - 2 ) ( 2x - 3) - 3 ( 1- 4x) } / ( 2x - 3 ) ( x + 1 )
{ 2x^2 - 7x - 3 + 12x} / ( 2x - 3 ) ( x + 1 )
{ 2x^2 + 5x - 3 } / ( 2x - 3 ) ( x + 1 )
( 2x - 1 ) ( x + 3 ) / ( 2x - 3 ) ( x + 1 )
Solve the equation. 5/7p - 2/7p + 12 = 6
Answer:
p = -14
Step-by-step explanation:
5/7p - 2/7p + 12 = 6
Combine like terms
3/7 p +12 = 6
Subtract 12 from each side
3/7p + 12-12 = 6-12
3/7p = -6
Multiply each side by 7/3
7/3 * 3/7p = -6*7/3
p = -14
Answer:
p = - 14
Step-by-step explanation:
5/7p - 2/7p + 12 = 6
subtract 12 both sides
5p/ 7 - 2p/7 + 12 = 6 - 12
simplify
5p/7 - 2p/7 = -6
multiply both side by 7
5p/7 * 7 - 2p/7 * 7 = -6 * 7
simplify
5p - 2p = -42
p = -42 / 3
p = - 14
the brazilian free-tailed bat can travel 99 miles per hour. after sunset, a colony of bats emerges from a cave and spreads out in a circular pattern. how long before these bats cover an area of 80,000 square miles? use pi = 3.14.
0.9 hours
1.6 hours
2.6 hours
5.1 hours
Answer:
The colony of bats will take 1.612 hours to cover an area of 80,000 square miles.
Step-by-step explanation:
As the colony of bats emerges from a cave and spreads out in a circular pattern, the area covered ([tex]A[/tex]) by the colony, measured in square miles, is represented by the following geometrical formula:
[tex]A = \pi\cdot r^{2}[/tex]
Where:
[tex]r[/tex] - Distance of the bat regarding the cave, measured in miles.
In addition, each bat moves at constant speed and distance is represented by this kinematic formula:
[tex]r = r_{o}+\dot r \cdot \Delta t[/tex]
Where:
[tex]r_{o}[/tex] - Initial distance of the bat regarding the cave, measured in miles.
[tex]\dot r[/tex] - Speed of the bat, measured in miles per hour.
[tex]\Delta t[/tex] - Time, measured in hours.
The distance of the bat regarding the cave is now substituted and time is therefore cleared:
[tex]A = \pi \cdot (r_{o}+\dot r \cdot \Delta t)^{2}[/tex]
[tex]\sqrt{\frac{A}{\pi} }-r_{o} = \dot r \cdot \Delta t[/tex]
[tex]\Delta t = \frac{1}{\dot r} \cdot \left(\sqrt{\frac{A}{\pi} }-r_{o} \right)[/tex]
Given that [tex]\dot r = 99\,\frac{mi}{h}[/tex], [tex]A = 80,000\,mi^{2}[/tex], [tex]\pi = 3.14[/tex] and [tex]r_{o} = 0\,mi[/tex], the time spent by the colony of bats is:
[tex]\Delta t = \left(\frac{1}{99\,\frac{mi}{h} } \right)\cdot \left(\sqrt{\frac{80,000\,mi^{2}}{3.14} }-0\,mi \right)[/tex]
[tex]\Delta t \approx 1.612\,hours[/tex]
The colony of bats will take 1.612 hours to cover an area of 80,000 square miles.
Answer:
B: 1.6 hours
Step-by-step explanation: